Information on Result #59844

There is no OA(473, 240, S4, 46), because the linear programming bound shows that M ≥ 3081 664986 883081 627986 607924 585409 348828 403557 841996 916067 930922 037066 224815 129884 411985 660277 287813 120000 / 34 388507 451119 783895 235565 346914 908818 017904 036178 247038 198799 > 473

Mode: Bound.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OA(474, 241, S4, 47) [i]Truncation
2No OA(475, 242, S4, 48) [i]
3No OA(476, 243, S4, 49) [i]
4No OA(477, 244, S4, 50) [i]
5No OA(478, 245, S4, 51) [i]
6No OA(479, 246, S4, 52) [i]
7No OA(480, 247, S4, 53) [i]
8No OOA(474, 240, S4, 2, 47) [i]m-Reduction for OOAs
9No OOA(473, 240, S4, 2, 46) [i]Depth Reduction
10No linear OA(4257, 425, F4, 184) (dual of [425, 168, 185]-code) [i]Residual Code